1. Ternary Hom-Jordan algebras induced by Hom-Jordan algebras.
- Author
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Arfa, Anja, Ben Hassine, Abdelkader, and Mabrouk, Sami
- Subjects
ALGEBRA ,JORDAN algebras ,CENTROID - Abstract
The purpose of this paper is to study the relationships between a Hom-Jordan algebras and its induced ternary Hom-Jordan algebras. We give some properties of the α
k -generalized derivation algebra G D e r (J) of a ternary Hom-Jordan algebras. In particular, we prove that G D e r (J) = Q D e r (J) + Q Γ (J) , the sum of the αk -quasiderivation algebra and the αk -quasicentroid. We also prove that Q D e r (J) can be embedded as derivations in a larger ternary Hom-Jordan algebras. General results on αk -centroids of ternary Hom-Jordan algebras are also developed in the paper. [ABSTRACT FROM AUTHOR]- Published
- 2022
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